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6.
The length of the hypotenuse of a right triangle is 15 cm. The length of one leg is 9 cm. Find the length of the other leg.


6 cm
12 cm
17 cm
144 cm

  • math -

    9^2 + x^2 = 15^2
    81 + x^2 = 225
    x^2 = 144
    x = 12

    or, since you are familiar with the 3-4-5 right triangle, you might have noticed that

    9 = 3x3
    15 = 3x5
    so the other leg would be 3x4 = 12

  • math -

    Use the Pythagorean Theorem.

    a^2 + b^2 = c^2

    a^2 + 9^2 = 15^2

    Solve for a.

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